Abstract

AbstractIn this paper two disturbance decoupling problems without stability and with quadratic stability via dynamic output feedback for switched linear systems are investigated. Firstly, simultaneous (C, A, B)-pair which incorporates both the concept of simultaneous (A, B)-invariant subspace and its dual simultaneous (C, A)-invariant subspace for a family of linear systems are investigated. Secondly, disturbance decoupling problem without stability via dynamic output feedback for switched linear system is formulated and it's solvabililty conditions are presented by using the concept of simultaneous (C, A, B)-pair. Further, the quadratic stability problem for disturbance decoupled switched system is also investigated.

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